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Finding the Third Proportional to 19,444.50 and 44,910

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Solution

The third proportional to 19,444.50 and 44,910 is: 103,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444.50 : 44,910 = 44,910 : x
  2. Step 2: Convert to fraction form
    19,444.50/44,910 = 44,910/x
  3. Step 3: Cross multiply
    19,444.50x = 44,910 × 44,910
  4. Step 4: Simplify right side
    19,444.50x = 2,016,908,100
  5. Step 5: Solve for x
    x = 2,016,908,100/19,444.50
  6. Step 6: Final answer
    x = 103,726.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.